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Finding the Fourth Proportional to 16,042.68, 24,024.78 and 9,805.32

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Solution

The fourth proportional to 16,042.68, 24,024.78 and 9,805.32 is: 14,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.68 : 24,024.78 = 9,805.32 : x
  2. Step 2: Convert to fraction form
    16,042.68/24,024.78 = 9,805.32/x
  3. Step 3: Cross multiply
    16,042.68x = 24,024.78 × 9,805.32
  4. Step 4: Simplify right side
    16,042.68x = 235,570,655.83
  5. Step 5: Solve for x
    x = 235,570,655.83/16,042.68
  6. Step 6: Final answer
    x = 14,684.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.